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 (
    51547, 51551, 51540, 51545, 51541, 51543, 
    51550, 51542, 51544, 51546, 51548
  ) 
  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 0.00044

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "15.41"
    },
    "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": 22,
      "rows_produced_per_join": 22,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51547,51551,51540,51545,51541,51543,51550,51542,51544,51546,51548)) 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": "13.21",
        "eval_cost": "2.20",
        "prefix_cost": "15.41",
        "data_read_per_join": "37K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
51540 stol-skladnoy-hispeed-zz-318-529550cm-cv-chernyy 2/38/237
51541 stol-skladnoy-hispeed-zz-319-529550cm-cv-drevesnyy 2/38/237
51542 stol-skladnoy-hispeed-2-stolika-zz-413-1505742cm-cv-chernyy 2/38/237
51543 stol-skladnoy-hispeed-zz-412-906027-52cm-cv-chernyy 2/38/237
51544 kreslo-hispeed-qsdz-220-464665cm-cv-korichnevyy 2/38/79
51545 kreslo-hispeed-qsdz-221-464665cm-cv-belyy 2/38/79
51546 kreslo-2-h-mestnoe-myagkoe-hispeed-kmt-04-cv-korichnevyy 2/38/79
51547 karmannyy-stul-hispeed-qsdz-215-28-521-526cm-cv-haki 2/38/81
51548 karmannyy-stul-hispeed-qsdz-214-28-521-526cm-cv-chernyy 2/38/81
51550 kreslo-hispeed-qsdz-270-cv-korichnevyy 2/38/79
51551 stol-skladnoy-hispeed-zz-452-1196051-60-70cm-cv-chernyy 2/38/237