SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    98, 28, 100, 99, 97, 104, 29, 101, 103, 
    102, 25, 71, 74, 73, 26, 72, 70, 69, 68, 
    75, 24, 76, 67
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00074

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "32.21"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 46,
      "rows_produced_per_join": 46,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (98,28,100,99,97,104,29,101,103,102,25,71,74,73,26,72,70,69,68,75,24,76,67)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "27.61",
        "eval_cost": "4.60",
        "prefix_cost": "32.21",
        "data_read_per_join": "77K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
24 pletenyy-shnur-munha-braid-x8-100m-zelenaya-0-20mm 11/12/13
25 pletenyy-shnur-munha-braid-x8-100m-zelenaya-0-25mm 11/12/13
26 pletenyy-shnur-munha-braid-x8-100m-zelenaya-0-30mm 11/12/13
28 katushka-munha-24-msx3000 11/15
29 spinning-munha-ms-x-m240m-2-40m-test-10-30gr 11/17
67 pletenyy-shnur-munha-series-for-uchur-braid-x8-100m-seryy-0-20mm 11/12/13
68 pletenyy-shnur-munha-series-for-uchur-braid-x8-100m-seryy-0-25mm 11/12/13
69 pletenyy-shnur-munha-series-for-uchur-braid-x8-100m-seryy-0-30mm 11/12/13
70 pletenyy-shnur-munha-braid-x8-100m-multicolor-0-16mm 11/12/13
71 pletenyy-shnur-munha-braid-x8-100m-multicolor-0-10mm 11/12/13
72 pletenyy-shnur-munha-braid-x8-100m-multicolor-0-07mm 11/12/13
73 pletenyy-shnur-munha-x8-100m-cv-zelenyy-pe-1-0-0-165mm 11/12/13
74 pletenyy-shnur-munha-x8-100m-cv-zelenyy-pe-1-5-0-203-mm 11/12/13
75 pletenyy-shnur-munha-x8-100m-cv-zelenyy-pe-2-0-0-234-mm 11/12/13
76 pletenyy-shnur-munha-x8-100m-cv-zelenyy-pe-2-5-0-260-mm 11/12/13
97 katushka-munha-24-msx2000 11/15
98 katushka-munha-25-msy3000 11/15
99 katushka-munha-series-for-uchur-sfu3000 11/15
100 katushka-munha-series-for-uchur-sfu4000 11/15
101 spinning-munha-ms-x-m198l-1-98m-test-2-10gr 11/17
102 spinning-munha-ms-x-m240ml-2-40m-test-5-28gr 11/17
103 spinning-munha-ms-y-m240mh-2-40m-test-10-30gr 11/17
104 spinning-munha-series-for-uchur-sfu230mh-2-30m-test-7-31gr 11/17