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 (
    1201, 1200, 1199, 2158, 2041, 2504, 2432, 
    1211, 1429, 1207, 1747, 1212, 2738, 
    1206, 1208, 1209, 1210
  ) 
  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 0.00097

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "23.81"
    },
    "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": 34,
      "rows_produced_per_join": 34,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1201,1200,1199,2158,2041,2504,2432,1211,1429,1207,1747,1212,2738,1206,1208,1209,1210)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "20.41",
        "eval_cost": "3.40",
        "prefix_cost": "23.81",
        "data_read_per_join": "57K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
1199 folga-29-sm-h-10-m-14-sayanskaya-osobo-prochnaya-h35 355/360
1200 folga-29-sm-h-10m-11-sayanskaya-universal-h35 355/360
1201 folga-29-sm-h-10m-9-sayanskaya-standart-ekonom-h48 355/360
1206 folga-44smh10m-14-v-plenke-sayanskaya-folga-osobo-prochnaya 355/360
1207 folga-44-sm-h-10-m-20-v-plenke-sayanskaya-folga-gril-o10p-440h15-gril-rossiya 355/360
1208 folga-45-sm-h10-m-osoboprochnaya-14mkm-orel 355/360
1209 folga-45-sm-h10-m-standart-11mkm-orel 355/360
1210 folga-45-sm-h10-m-ekonom-9mkm-orel 355/360
1211 folga-sayanskaya-prof.-30-sm-h-100-m-9 355/360
1212 folga-standart-45sm100m-orel 355/360
1429 folga-sayanskaya-prof.-30-sm-h-100-m-universal-11 355/360
1747 folga-44-sm-h-100-m-9-sayanskaya-prof.standart 355/360
2041 folga-29-sm-h-7-m-14-v-plenke-sayanskaya-folga-zapekanie-o7p-290h35-rossiya 355/360
2158 folga-29-sm-h-40-m-11-v-plenke-sayanskaya-folga-universal 355/360
2432 folga-pischevaya-29-sm-80-m 355/360
2504 folga-290mm-h-7m-11mkm-v-plenke-sayanskaya-universal-35-rol-kor 355/360
2738 folga-44-sm-h-80-m-9-pischevaya-prof 355/360